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PRACTICE / Force between parallel currents

An interaction between two currents

Two long parallel wires 0.10 m apart carry 3 A and 4 A in the same direction.

Find the force magnitude per metre on either wire.

Organize the givens & assumptions
  • I₁ = 3 A
  • I₂ = 4 A
  • d = 0.10 m

Long thin parallel wires in vacuum; separation much larger than wire radii; μ₀ = 4π × 10⁻⁷ H/m.

  1. A0 N/m0\ \mathrm{N/m}
  2. B2.4×10−5 N/m2.4\times10^{-5}\ \mathrm{N/m}
  3. C2.4×10−6 N/m2.4\times10^{-6}\ \mathrm{N/m}
  4. D1.4×10−5 N/m1.4\times10^{-5}\ \mathrm{N/m}

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